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Finding the Third Proportional to 275,699.25 and 421,659.75

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Solution

The third proportional to 275,699.25 and 421,659.75 is: 644,894.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,699.25 : 421,659.75 = 421,659.75 : x
  2. Step 2: Convert to fraction form
    275,699.25/421,659.75 = 421,659.75/x
  3. Step 3: Cross multiply
    275,699.25x = 421,659.75 × 421,659.75
  4. Step 4: Simplify right side
    275,699.25x = 177,796,944,770.06
  5. Step 5: Solve for x
    x = 177,796,944,770.06/275,699.25
  6. Step 6: Final answer
    x = 644,894.55

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.